101331032201 has 36 divisors (see below), whose sum is σ = 125617131468. Its totient is φ = 81484558848.

The previous prime is 101331032197. The next prime is 101331032213. The reversal of 101331032201 is 102230133101.

It can be written as a sum of positive squares in 6 ways, for example, as 6328998025 + 95002034176 = 79555^2 + 308224^2 .

It is not a de Polignac number, because 101331032201 - 2² = 101331032197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101331032201.

It is not an unprimeable number, because it can be changed into a prime (101331032281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4477751 + ... + 4500323.

It is an arithmetic number, because the mean of its divisors is an integer number (3489364763).

Almost surely, 2^101331032201 is an apocalyptic number.

It is an amenable number.

101331032201 is a deficient number, since it is larger than the sum of its proper divisors (24286099267).

101331032201 is a wasteful number, since it uses less digits than its factorization.

101331032201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22938 (or 22914 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101331032201 its reverse (102230133101), we get a palindrome (203561165302).

The spelling of 101331032201 in words is "one hundred one billion, three hundred thirty-one million, thirty-two thousand, two hundred one".